Title :
Analysis and computations of Neumann boundary optimal control problems for the stationary Boussinesq equations
Author_Institution :
Dept. of Math., Ajou Univ., Suwon, South Korea
Abstract :
Deals with Neumann boundary optimal control problems associated with the Boussinesq equations. These problems are first put into an appropriate mathematical formulation. Then the existence of optimal solutions is proved. The use of Lagrange multiplier techniques is justified and an optimality system of equations is derived. Finally, some numerical results are given
Keywords :
distributed parameter systems; flow control; functional equations; minimisation; optimal control; 2D equations; Benard problem; Neumann boundary optimal control problems; stationary Boussinesq equations; viscous incompressible thermally convected flows; Boundary conditions; Cost function; Equations; Force control; Lagrangian functions; Optimal control; Pressure control; Temperature control; Thermal conductivity; Velocity control;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980912
